Answer:
The answer to your question is:
x = 43°, y = 137° and z= 43°
Step-by-step explanation:
-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.
z = 43°
- y and 43° are supplementary angles , so
y + 43 = 180
y = 180 - 43
y = 137°
- x and z are vertical angles, so they measure the same
x = z = 43°
Answer:
add both for a total of 11
then 6/11 = .54 = 54%
X + x + 2 + x + 4 = -213
3x + 6 = -213
3x = -219
x = -73
-73 + 2 = -71
-73 + 4 = -69
Solution: -73, -71, -69
The mean of the dataset is the average, while the median is the middle element.
- <em>The mean and the median of the given dataset is 98.2</em>
- <em>The results support the common belief that the mean body temperature is 98.6F</em>
<em />
The mean of the dataset is calculated using:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
So, we have:
![\bar x = \frac{99.2+ 99.2 +98.2+............+97.7}{48}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B99.2%2B%2099.2%20%2B98.2%2B............%2B97.7%7D%7B48%7D)
![\bar x = \frac{4715}{48}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B4715%7D%7B48%7D)
![\bar x = 98.2](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%2098.2)
The median position is:
![Median = \frac{1}{2}(n + 1)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28n%20%2B%201%29)
![Median = \frac{1}{2}(48 + 1)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2848%20%2B%201%29)
![Median = \frac{1}{2}(49)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2849%29)
![Median = 24.5](https://tex.z-dn.net/?f=Median%20%3D%2024.5)
This means that the median is the average of the 24th and 25th element
Using the sorted dataset, we have:
![Median = \frac{1}{2}(98.2 + 98.2)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2898.2%20%2B%2098.2%29)
![Median = 98.2](https://tex.z-dn.net/?f=Median%20%3D%2098.2)
<em>Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F</em>
<em />
Read more about mean and median at:
brainly.com/question/17060266
Answer:
Is there a diagram to this question?
Step-by-step explanation: